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Finding the Fourth Proportional to 5,335.81, 7,361.35 and 3,097.24

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Solution

The fourth proportional to 5,335.81, 7,361.35 and 3,097.24 is: 4,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.81 : 7,361.35 = 3,097.24 : x
  2. Step 2: Convert to fraction form
    5,335.81/7,361.35 = 3,097.24/x
  3. Step 3: Cross multiply
    5,335.81x = 7,361.35 × 3,097.24
  4. Step 4: Simplify right side
    5,335.81x = 22,799,841.53
  5. Step 5: Solve for x
    x = 22,799,841.53/5,335.81
  6. Step 6: Final answer
    x = 4,272.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.